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Finding the Fourth Proportional to 10,085.22, 15,137.22 and 5,158.38

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Solution

The fourth proportional to 10,085.22, 15,137.22 and 5,158.38 is: 7,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.22 : 15,137.22 = 5,158.38 : x
  2. Step 2: Convert to fraction form
    10,085.22/15,137.22 = 5,158.38/x
  3. Step 3: Cross multiply
    10,085.22x = 15,137.22 × 5,158.38
  4. Step 4: Simplify right side
    10,085.22x = 78,083,532.90
  5. Step 5: Solve for x
    x = 78,083,532.90/10,085.22
  6. Step 6: Final answer
    x = 7,742.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.